What is the Least Common Multiple of 21405 and 21417?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21405 and 21417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21405 and 21417, than apply into the LCM equation.

GCF(21405,21417) = 3
LCM(21405,21417) = ( 21405 × 21417) / 3
LCM(21405,21417) = 458430885 / 3
LCM(21405,21417) = 152810295

Least Common Multiple (LCM) of 21405 and 21417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21405 and 21417. First we will calculate the prime factors of 21405 and 21417.

Prime Factorization of 21405

Prime Factorization of 21417

Now multiplying the highest exponent prime factors to calculate the LCM of 21405 and 21417.

LCM(21405,21417) = 3¹ × 5¹ × 1427¹ × 11² × 59¹
LCM(21405,21417) = 152810295